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The air in a room has a mass of 50 kg and a specific heat of 1,000 J/kg*C. What is the

change in thermal energy of the air when it warms from 20 to 30 degrees celsius

User Kester
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Final answer:

To find the thermal energy change of air warming from 20 to 30 degrees Celsius, use the formula Q = mcΔT, resulting in a 500 kJ increase for 50 kg of air with a specific heat of 1,000 J/kg°C.

Step-by-step explanation:

The change in thermal energy of the air when it warms from 20 to 30 degrees Celsius can be calculated using the formula Q = mcΔT. In this case, the mass (m) of the air is 50 kg, the specific heat (c) is 1,000 J/kg°C, and the change in temperature (ΔT) is 10°C.

Plugging the values into the formula:

  • Q = (50 kg)(1,000 J/kg°C)(10°C)
  • Q = 500,000 J or 500 kJ (since 1,000 J = 1 kJ)

Therefore, the air's thermal energy increases by 500 kJ when the temperature rises from 20°C to 30°C.

User Aspirisen
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