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 …

Question

asked Jan 28, 2021 234k views

1 Answer

JGK · Answer 1 · 2021-02-02T16:57:16+0000

Answer:

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.