If an ideal gas has volume V at 27oC and it is heated at constant pressure so that its volume becomes 1.5 V, then the value of final temperature is:
Correct answer: B. 177 C
- A. 327 K
- B. 177 C
- C. 873 K
- D. 600 oC
Explanation
Option A: 327 K. This is the temperature if the volume of the gas doubles. However, the volume only increases by 1.5 times, so the temperature will not double. Option B: Initial conditions:Temperature = 27 C = 300 KVolume = VFinal conditions:Volume = 1.5 VTemperature = TCharles's law:V1/T1 = V2/T2 where:V1 is the initial volumeT1 is the initial temperatureV2 is the final volumeT2 is the final temperatureSubstituting the known values into the equation, we get:V/300 = 1.5V/T2 Solving for T2, we get:T2 = 1.5V * 300 / V = 450 K = 177 C Therefore, the final temperature is 177 C.Option C: 873 K. This is the temperature if the volume of the gas triples. However, the volume only increases by 1.5 times, so the temperature will not triple.Option D: 600 C. This is the temperature if the volume of the gas doubles and then increases by 50%. However, the volume only increases by 1.5 times, so the temperature will not increase by 50%.
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Thermal equilibrium means that bodies in contact have the same temperature and no net heat flows between them. The topic distinguishes heat from temperature, uses the zeroth law of thermodynamics, and covers heat transfer, specific heat capacity, thermal expansion and the conditions for reaching equilibrium.
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