Build and Test Heat Device

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Middle School Physical Science › Build and Test Heat Device

Questions 1 - 10
1

A thermos was constructed with a double wall, a vacuum layer between the walls, a reflective coating, and a tightly sealed cap. To test it, a student poured in coffee at $75^\circ\text{C}$, sealed the cap, left it in a $22^\circ\text{C}$ room, and measured the coffee temperature every 2 hours.

Data: 0 hr: $75^\circ\text{C}$, 2 hr: $72^\circ\text{C}$, 4 hr: $68^\circ\text{C}$, 6 hr: $65^\circ\text{C}$, 8 hr: $62^\circ\text{C}$.

Criterion: maintain $\ge 60^\circ\text{C}$ for 8 hours.

What is the correct evaluation of the thermos test?

Pass, because at 8 hours the temperature was $62^\circ\text{C}$, which is above $60^\circ\text{C}$.

Fail, because $62^\circ\text{C}$ is below the starting temperature of $75^\circ\text{C}$.

Fail, because the criterion is to stay at exactly $60^\circ\text{C}$ for 8 hours.

Fail, because the temperature decreased over time.

Explanation

This question tests understanding of how to test a heat control device and evaluate whether its performance meets the established criteria by comparing measured data to required values. Testing a thermos involves: (1) setting up test (add coffee at 75°C starting temperature), (2) sealing device properly (tightly sealed cap), (3) placing in test environment (22°C room), (4) measuring performance over time (temperature every 2 hours), (5) recording data (temperature vs time), and (6) comparing results to criteria (at 8 hours, is temperature ≥ 60°C?). The thermos test shows: 75°C (start) → 72°C (2 hr) → 68°C (4 hr) → 65°C (6 hr) → 62°C (8 hr), and criterion is "maintain ≥60°C for 8 hours"—at 8 hours, measured 62°C exceeds required 60°C (62 > 60), so criterion MET ✓ successfully. The performance shows: (1) slow cooling rate (~1.6°C per hour: 75°C to 62°C in 8 hrs = 13°C drop / 8 hrs), indicating excellent insulation, (2) temperature stays well above minimum throughout (never even close to failing: lowest is 62°C, comfortably above 60°C threshold), and (3) design features working (vacuum gap preventing conduction/convection, reflective surfaces minimizing radiation, sealed cap preventing air exchange—all contributing to minimal heat loss). Choice B is correct because it accurately states that at 8 hours the temperature was 62°C, which is above the required 60°C minimum, thus meeting the criterion. Choice A incorrectly claims failure just because temperature decreased (all hot things cool down—the question is whether it stays above threshold); Choice C wrongly compares to starting temperature instead of criterion; Choice D misunderstands the criterion as maintaining exactly 60°C rather than ≥60°C. The success validates the design approach and confirms that addressing all three heat transfer methods creates effective insulation.

2

Three containers were tested with the same hot water starting at $70^\circ\text{C}$ in a $22^\circ\text{C}$ room. After 1 hour, the temperatures were:

Container A (no insulation): $30^\circ\text{C}$

Container B (foam insulation): $55^\circ\text{C}$

Container C (thick foam + sealed lid): $63^\circ\text{C}$

Criterion: after 1 hour, temperature must be $\ge 60^\circ\text{C}$.

Which container(s) meet the criterion?

Only Container B, because foam insulation always meets $\ge 60^\circ\text{C}$.

Only Container C, because $63^\circ\text{C} \ge 60^\circ\text{C}$.

Containers B and C, because both are above $50^\circ\text{C}$.

All three containers, because they all started at $70^\circ\text{C}$.

Explanation

This question tests understanding of how to test a heat control device and evaluate whether its performance meets the established criteria by comparing measured data to required values. Testing a heat device involves: (1) setting up test (add hot liquid at 70°C to each container), (2) sealing devices as designed, (3) placing in test environment (22°C room), (4) measuring performance at specified time (1 hour), (5) recording data (temperature for each container), and (6) comparing results to criteria (at 1 hour—is temperature ≥ 60°C? if yes, criterion met ✓; if no, criterion failed ✗). The test results show: Container A (no insulation) = 30°C, Container B (foam insulation) = 55°C, Container C (thick foam + sealed lid) = 63°C—comparing each to criterion "≥60°C at 1 hour": A: 30°C < 60°C (FAIL), B: 55°C < 60°C (FAIL), C: 63°C ≥ 60°C (PASS), so only Container C meets the criterion. Choice A is correct because it accurately identifies that only Container C meets the criterion, with its temperature of 63°C being greater than or equal to the required 60°C. Choice B incorrectly assumes foam insulation automatically guarantees success, when the data clearly show Container B at 55°C fails the ≥60°C requirement; Choice C uses the wrong threshold (50°C instead of 60°C), which would incorrectly pass Container B; Choice D focuses on starting temperature rather than the 1-hour measurement that determines success or failure. The results demonstrate the importance of design features: Container A with no insulation lost 40°C in 1 hour (70°C to 30°C), Container B with basic foam lost 15°C (70°C to 55°C), while Container C with thick foam AND sealed lid lost only 7°C (70°C to 63°C)—showing that multiple insulation strategies working together (thick insulation + proper sealing) are needed to meet stringent criteria. Understanding comparative testing helps identify which design features contribute most to success.

3

A student built a thermos with a double wall, a vacuum gap, a reflective coating, and a tightly sealed cap. They filled it with coffee at $75^\circ\text{C}$ and measured temperature every 2 hours for 8 hours:

0 hr: $75^\circ\text{C}$

2 hr: $72^\circ\text{C}$

4 hr: $68^\circ\text{C}$

6 hr: $65^\circ\text{C}$

8 hr: $62^\circ\text{C}$

Criterion: maintain $\ge 60^\circ\text{C}$ for 8 hours.

Did this thermos design meet the criterion?

Fail, because it must stay at $75^\circ\text{C}$ for 8 hours to pass.

Fail, because at 6 hours it was $65^\circ\text{C}$ and the criterion is exactly $60^\circ\text{C}$.

Fail, because the temperature dropped at all, so it did not maintain heat.

Pass, because at 8 hours it was $62^\circ\text{C}$, which is above $60^\circ\text{C}$.

Explanation

This question tests understanding of how to test a heat control device and evaluate whether its performance meets the established criteria by comparing measured data to required values. Testing a heat device involves: (1) setting up test (add hot liquid at measured starting temperature 75°C), (2) sealing device properly (tightly sealed cap), (3) placing in test environment, (4) measuring performance over time (thermometer readings every 2 hours), (5) recording data (temperature vs time), and (6) comparing results to criteria (at 8 hours—is temperature ≥ 60°C? if yes, criterion met ✓; if no, criterion failed ✗). The thermos test shows: 75°C (start) → 72°C (2 hr) → 68°C (4 hr) → 65°C (6 hr) → 62°C (8 hr), and criterion is "maintain ≥60°C for 8 hours"—at 8 hours, measured 62°C exceeds required 60°C (62 > 60), so criterion MET ✓ successfully. Choice B is correct because it accurately compares the 8-hour temperature (62°C) to the criterion (≥60°C), correctly determining that 62°C > 60°C means the criterion is met. Choice A incorrectly claims failure just because temperature dropped at all, misunderstanding that some cooling is expected—the criterion is about maintaining above a threshold, not preventing any temperature change; Choice C misreads both the data (using 6-hour reading) and criterion (claiming it requires exactly 60°C when it's ≥60°C); Choice D completely misunderstands the criterion, thinking it requires maintaining the starting temperature rather than staying above 60°C. The performance shows: (1) slow cooling rate (~1.6°C per hour: 75°C to 62°C in 8 hrs = 13°C drop / 8 hrs), indicating excellent insulation, (2) temperature stays well above minimum throughout (lowest is 62°C, comfortably above 60°C threshold), and (3) design features working (vacuum gap preventing conduction/convection, reflective surfaces minimizing radiation, sealed cap preventing air exchange). The success validates the design approach and confirms that addressing all three heat transfer methods creates effective insulation.

4

A student built an insulated cup using a foam cup with 0.5 cm thick walls and a plastic lid that was placed on top but not sealed tightly (no reflective coating). For the test, the student poured hot water at 70°C into the cup, put the lid on, left it in a 22°C room, and measured the water temperature each hour with a thermometer (±1°C).

Measured temperatures:

  • 0 hr: 70°C
  • 1 hr: 58°C
  • 2 hr: 48°C
  • 3 hr: 40°C

Criterion: Maintain a temperature of at least 60°C for 3 hours.

Did the cup meet the criterion (pass/fail)?​​

Pass, because the temperature started above 60°C at 0 hr.

Pass, because 58°C at 1 hr is close enough to 60°C.

Fail, because the temperature was already below 60°C at 1 hr (58°C), so it did not stay ≥60°C for 3 hours.

Pass, because the temperature stayed above 40°C for 3 hours.

Explanation

This question tests understanding of how to test a heat control device and evaluate whether its performance meets the established criteria by comparing measured data to required values. Testing a heat device involves: (1) setting up test (add hot liquid at measured starting temperature like 70°C), (2) sealing device properly (lid on, closed as intended for use), (3) placing in test environment (room temperature), (4) measuring performance over time (use thermometer at intervals: every hour), (5) recording data (temperature vs time), and (6) comparing results to criteria (at the required time—say 3 hours—is measured temperature ≥ required minimum like 60°C? if yes, criterion met ✓; if no, criterion failed ✗). The insulated cup test data show temperature measurements at 0, 1, 2, and 3 hours: 70°C (start), 58°C (1 hr), 48°C (2 hr), 40°C (3 hr)—comparing to the criterion "maintain ≥60°C for 3 hours" reveals failure: at 1 hour, measured temperature is already 58°C but required is ≥60°C, so 58 < 60 means criterion NOT MET (failed immediately at 1 hour). Choice C is correct because it accurately identifies that the temperature was already below 60°C at 1 hour (58°C), so it did not stay ≥60°C for the required 3 hours—the criterion requires maintaining at least 60°C throughout the entire 3-hour period, not just at the end. Choice A incorrectly focuses on starting temperature when the criterion is about maintaining temperature; Choice B wrongly accepts "close enough" when criterion is a threshold (58°C is not acceptable for ≥60°C requirement); Choice D misunderstands the criterion by using wrong threshold (40°C instead of 60°C). The failure indicates: (1) insulation insufficient (0.5 cm foam too thin), (2) lid not sealing (allowing convection heat loss), or (3) no radiation control—improvements needed include thicker insulation, better-sealing lid, or reflective coating to slow heat loss. Real testing requires objective comparison to criteria: if the requirement is ≥60°C for 3 hours, then the temperature must remain at or above 60°C for the entire duration, not just part of it.

5

A student tested a cooler they built from a plastic box with 3 cm foam walls, a sealed lid with a gasket, and a white exterior. They put 1.0 kg of ice at $0^\circ\text{C}$ inside and left it in $25^\circ\text{C}$ air. They measured the ice mass remaining:

0 hr: 1000 g

2 hr: 920 g

4 hr: 840 g

6 hr: 760 g

Criterion: after 6 hours, at least 800 g of ice must remain (meaning $\le 200$ g may melt).

Based on the data, did the cooler meet the criterion?

Yes (pass), because 760 g is more than half of 1000 g.

Yes (pass), because only 160 g melted by 4 hours.

No (fail), because the criterion requires all 1000 g to stay frozen.

No (fail), because 240 g melted by 6 hours (1000 g − 760 g = 240 g), which is more than the 200 g allowed.

Explanation

This question tests understanding of how to test a heat control device and evaluate whether its performance meets the established criteria by comparing measured data to required values. Testing a heat device involves: (1) setting up test (add cold ice at 0°C), (2) sealing device properly (lid with gasket, closed as intended), (3) placing in test environment (25°C air), (4) measuring performance over time (mass of ice at intervals: every 2 hours), (5) recording data (ice mass remaining vs time), and (6) comparing results to criteria (at 6 hours—is ice mass remaining ≥ 800 g? if yes, criterion met ✓; if no, criterion failed ✗). Testing cooler with 1 kg ice shows mass remaining: 1000 g (start), 920 g at 2 hr (80 g melted), 840 g at 4 hr (160 g melted), 760 g at 6 hr (240 g melted), compared to criterion "at least 800 g must remain" (or equivalently ≤200 g may melt)—at 6 hours, only 760 g ice remains, meaning 240 g melted (1000 g - 760 g = 240 g), which is 240 > 200 so FAILED criterion (exceeded allowed melting by 40 g). Choice C is correct because it accurately calculates the amount melted (1000 g - 760 g = 240 g) and correctly compares this to the criterion (240 g > 200 g allowed), determining the cooler failed. Choice A incorrectly evaluates based on "more than half" remaining rather than the specific criterion; Choice B uses the wrong time point (4 hours instead of 6 hours); Choice D misinterprets the criterion as requiring all ice to stay frozen when it allows up to 200 g to melt. The melting rate is ~40 g per hour (240 g / 6 hr), indicating heat gain of ~40 g × 334 J/g ≈ 13,400 J per hour entering cooler—too much heat transfer, need better insulation: thicker walls, better seal, or shade from sun. Real testing validates design effectiveness by providing objective data showing exactly how much the design failed (40 g over limit), guiding specific improvements needed.

6

A student built an insulated cup using a foam cup with 0.5 cm thick walls and a plastic lid that was placed on top but not sealed tightly (no reflective coating). For the test, the student poured hot water at 70°C into the cup, put the lid on, left it in a 22°C room, and measured the water temperature each hour with a thermometer (±1°C).

Measured temperatures:

  • 0 hr: 70°C
  • 1 hr: 58°C
  • 2 hr: 48°C
  • 3 hr: 40°C

Criterion: Maintain a temperature of at least 60°C for 3 hours.

Did the cup meet the criterion (pass/fail)?

Pass, because the temperature started above 60°C at 0 hr.

Pass, because the temperature stayed above 40°C for 3 hours.

Pass, because 58°C at 1 hr is close enough to 60°C.

Fail, because the temperature was already below 60°C at 1 hr (58°C), so it did not stay ≥60°C for 3 hours.

Explanation

This question tests understanding of how to test a heat control device and evaluate whether its performance meets the established criteria by comparing measured data to required values. Testing a heat device involves: (1) setting up test (add hot liquid at measured starting temperature like 70°C), (2) sealing device properly (lid on, closed as intended for use), (3) placing in test environment (room temperature), (4) measuring performance over time (use thermometer at intervals: every hour), (5) recording data (temperature vs time), and (6) comparing results to criteria (at the required time—say 3 hours—is measured temperature ≥ required minimum like 60°C? if yes, criterion met ✓; if no, criterion failed ✗). The insulated cup test data show temperature measurements at 0, 1, 2, and 3 hours: 70°C (start), 58°C (1 hr), 48°C (2 hr), 40°C (3 hr)—comparing to the criterion "maintain ≥60°C for 3 hours" reveals failure: at 1 hour, measured temperature is already 58°C but required is ≥60°C, so 58 < 60 means criterion NOT MET (failed immediately at 1 hour). Choice C is correct because it accurately identifies that the temperature was already below 60°C at 1 hour (58°C), so it did not stay ≥60°C for the required 3 hours—the criterion requires maintaining at least 60°C throughout the entire 3-hour period, not just at the end. Choice A incorrectly focuses on starting temperature when the criterion is about maintaining temperature; Choice B wrongly accepts "close enough" when criterion is a threshold (58°C is not acceptable for ≥60°C requirement); Choice D misunderstands the criterion by using wrong threshold (40°C instead of 60°C). The failure indicates: (1) insulation insufficient (0.5 cm foam too thin), (2) lid not sealing (allowing convection heat loss), or (3) no radiation control—improvements needed include thicker insulation, better-sealing lid, or reflective coating to slow heat loss. Real testing requires objective comparison to criteria: if the requirement is ≥60°C for 3 hours, then the temperature must remain at or above 60°C for the entire duration, not just part of it.

7

A thermos was constructed with a double wall, a vacuum layer between walls, a reflective inner coating, and a tightly sealed screw cap. Test procedure: Coffee at 75°C was poured in, the cap was sealed, the thermos was kept in a 21°C room, and temperature was measured every 2 hours.

Data:

  • 0 hr: 75°C
  • 2 hr: 72°C
  • 4 hr: 68°C
  • 6 hr: 65°C
  • 8 hr: 62°C

Criterion: Maintain at least 60°C for 8 hours.

Did the thermos meet the criterion?​​

Pass, because at 8 hours the temperature was 62°C, which is ≥60°C.

Fail, because 62°C is below 75°C.

Fail, because the temperature decreased over time.

Fail, because the temperature dropped below 65°C at 8 hours.

Explanation

This question tests understanding of how to test a heat control device and evaluate whether its performance meets the established criteria by comparing measured data to required values. Testing a heat device involves: (1) setting up test (add hot liquid at measured starting temperature like 75°C), (2) sealing device properly (screw cap tightly sealed), (3) placing in test environment (room temperature), (4) measuring performance over time (use thermometer at intervals: every 2 hours), (5) recording data (temperature vs time), and (6) comparing results to criteria (at 8 hours—is measured temperature ≥ required minimum 60°C? if yes, criterion met ✓; if no, criterion failed ✗). The thermos test shows: 75°C (start) → 72°C (2 hr) → 68°C (4 hr) → 65°C (6 hr) → 62°C (8 hr), and criterion is "maintain at least 60°C for 8 hours"—at 8 hours, measured 62°C exceeds required 60°C (62 > 60), so criterion MET ✓ successfully. Choice C is correct because it accurately compares the 8-hour temperature (62°C) to the criterion (≥60°C) and correctly determines the thermos passed. Choice A incorrectly assumes any temperature decrease means failure (when criterion allows decrease as long as stays ≥60°C); Choice B compares to wrong value (75°C starting temperature instead of 60°C criterion); Choice D uses wrong threshold (65°C instead of 60°C). The performance shows: (1) slow cooling rate (~1.6°C per hour: 75°C to 62°C in 8 hrs = 13°C drop / 8 hrs), indicating excellent insulation, (2) temperature stays well above minimum throughout (lowest is 62°C, comfortably above 60°C threshold), and (3) design features working (vacuum gap preventing conduction/convection, reflective surfaces minimizing radiation, sealed cap preventing air exchange). The success validates the design approach and confirms that addressing all three heat transfer methods creates effective insulation.

8

A foam cup (0.5 cm walls) with a loose plastic lid (not sealed) was tested with hot water at 70°C in a 22°C room. Temperatures were measured hourly:

  • 0 hr: 70°C
  • 1 hr: 58°C
  • 2 hr: 48°C
  • 3 hr: 40°C

Criterion: Maintain ≥60°C for 3 hours.

Which specific measurement shows the first time the cup fails the criterion?​​

1 hr: 58°C

2 hr: 48°C

3 hr: 40°C

0 hr: 70°C

Explanation

This question tests understanding of how to test a heat control device and evaluate whether its performance meets the established criteria by comparing measured data to required values. Testing a heat device involves: (1) setting up test (add hot liquid at 70°C), (2) sealing device properly (loose lid, not sealed), (3) placing in test environment (22°C room), (4) measuring performance over time (hourly measurements), (5) recording data (temperature vs time), and (6) comparing results to criteria (must maintain ≥60°C for entire 3 hours). The criterion "maintain ≥60°C for 3 hours" means the temperature must stay at or above 60°C throughout the entire 3-hour period, not just at the end—examining each measurement: 0 hr at 70°C meets (70 ≥ 60), but 1 hr at 58°C fails (58 < 60), making this the first failure point. Choice B is correct because it identifies the 1-hour measurement (58°C) as the first time the temperature drops below the required 60°C threshold, thus failing the criterion. Choice A shows the starting temperature which meets the criterion; Choice C shows continued failure at 2 hours but not the first failure; Choice D shows the 3-hour result but the failure occurred much earlier. The 1-hour measurement is critical because: (1) it's the first data point after starting that shows performance, (2) it reveals the cup already failed to maintain the required temperature after just one hour (not even close to the 3-hour requirement), and (3) it indicates the insulation system is inadequate from the beginning. Understanding first failure point helps diagnose problems: immediate failure suggests major heat loss pathways (loose lid allowing convection, thin insulation allowing conduction) rather than gradual degradation.

9

A cooler (plastic box, 3 cm foam walls, gasket-sealed lid, white exterior) was tested with 1000 g of ice at 0°C in a 25°C room. Ice mass remaining:

  • 0 hr: 1000 g
  • 2 hr: 920 g
  • 4 hr: 840 g
  • 6 hr: 760 g

Criterion: No more than 200 g of ice may melt in 6 hours.

How much ice melted by 6 hours, and does that meet the criterion?​​

240 g melted; does NOT meet the criterion.

200 g melted; meets the criterion.

760 g melted; does NOT meet the criterion.

160 g melted; meets the criterion.

Explanation

This question tests understanding of how to test a heat control device and evaluate whether its performance meets the established criteria by comparing measured data to required values. Testing a heat device involves: (1) setting up test (add 1000 g ice at 0°C), (2) sealing device properly (gasket-sealed lid), (3) placing in test environment (25°C room), (4) measuring performance over time (ice mass every 2 hours), (5) recording data (ice remaining vs time), and (6) comparing results to criteria (no more than 200 g melted in 6 hours). Calculating ice melted: started with 1000 g, ended with 760 g at 6 hours, so ice melted = 1000 g - 760 g = 240 g—comparing to criterion "no more than 200 g may melt," we find 240 g > 200 g, so criterion NOT MET (exceeded allowed melting by 40 g). Choice A is correct because it accurately calculates that 240 g melted (1000 - 760 = 240) and correctly determines this does NOT meet the criterion since 240 > 200. Choice B incorrectly states 760 g melted (that's the amount remaining, not melted); Choice C incorrectly calculates 200 g melted when actually 240 g melted; Choice D incorrectly calculates 160 g melted (that was at 4 hours: 1000 - 840 = 160, not at 6 hours). The melting progression shows: 80 g melted by 2 hr, 160 g by 4 hr, 240 g by 6 hr—a steady rate of 40 g per hour, indicating consistent heat gain despite insulation. Understanding ice melting calculations: always subtract final mass from initial mass to find amount melted (not the reverse), and compare melted amount (not remaining amount) to criterion when stated as maximum melt allowed.

10

A student tested a foam cup (0.5 cm walls) with a loose lid (not sealed) using hot water starting at 70°C in a 22°C room. Temperatures were:

  • 0 hr: 70°C
  • 1 hr: 58°C
  • 2 hr: 48°C
  • 3 hr: 40°C

Criterion: Maintain ≥60°C for 3 hours.

Which explanation best matches why the cup failed, based on the design features?​​

It failed because the criterion requires the temperature to be ≤60°C for 3 hours.

It failed because foam is a good conductor of heat, so it sped up cooling.

It likely gained heat from the room because the water was hotter than the air.

It likely lost heat quickly by convection because the lid was not sealed tightly.

Explanation

This question tests understanding of how to test a heat control device and evaluate whether its performance meets the established criteria by comparing measured data to required values. Testing a heat device involves analyzing both performance data and design features to understand failure mechanisms—the foam cup with loose lid showed rapid cooling from 70°C to 58°C in just 1 hour (12°C drop), then to 48°C at 2 hours and 40°C at 3 hours, failing the ≥60°C for 3 hours criterion. The design features reveal the problem: (1) thin insulation (only 0.5 cm foam walls provide minimal resistance to conduction), (2) loose lid not sealed (major pathway for convection as hot air escapes and cold air enters), and (3) no reflective coating (allows radiation heat loss)—the loose lid is particularly problematic for convection losses. Choice A is correct because it identifies the primary heat loss mechanism: convection through the unsealed lid, which allows hot air to escape and be replaced by cooler room air, dramatically accelerating cooling. Choice B incorrectly reverses heat flow (hot water loses heat to cooler room, not gains); Choice C incorrectly states foam is a good conductor (foam is actually a good insulator, just too thin here); Choice D misreads the criterion (requires ≥60°C, not ≤60°C). The rapid initial temperature drop (12°C in first hour) is characteristic of convection losses through openings, as this is typically the dominant heat transfer mode when present. Understanding design-performance relationships: unsealed openings create convection currents that can overwhelm conduction through insulation, making proper sealing critical for thermal devices—even good insulation fails if hot air can escape freely.

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