College

Nitrogen gas at 298 K and 75.5 kPa increases in pressure to 175 kPa. What is the temperature of the gas at 175 kPa?

Answer :

Answer:

691 K

Explanation:

You want to know the temperature of nitrogen gas at a pressure of 175 kpa if it is 298 K at a pressure of 75.5 kpa.

Temperature

For a given quantity of gas and constant volume, the pressure and temperature are proportional. When the pressure increases by a factor of 175/75.5, the absolute temperature increases by the same factor.

The new temperature is ...

T' = P'/P·T = (175/75.5)·298 K = 691 K

The temperature of the gas at 175 kpa is 691 K.