Question

The temperature, T, of a given mass of gas varies inversely with its Volume,V. The temperature of 98 cm ³ of a certain gas is 28°C. What will the temperature of the gas be when it is compressed to a volume of 70 cm ³?

Answer 1

T₂ = 421.4 K

Explanation:

The temperature, T, of a given mass of gas varies inversely with its Volume,V.

`T\propto (1)/(V)\\\\V_1T_1=V_2T_2`

We have,

V₁ = 98 cm³, T₁ = 28° C = (28+273) K = 301 K

V₂ = 70 cm₃

We need to find the new temperature of the gas. Using the above relation to find T₂.

`T_2=(V_1T_1)/(V_2)\\\\T_2=(98* 301)/(70)\\\\T_2=421.4\ K`

Hence, the required temperature of the gas is 421.4 K.