Ideal gas is contained in a closed vessel of constant volume. When the gas was heated to 200 ° C

Ideal gas is contained in a closed vessel of constant volume. When the gas was heated to 200 ° C, its pressure increased 1.4 times. Find the gas temperature before heating (in 0С).

Isochoric process equation:

P / T = const.

Let P and T be the values of pressure and temperature before heating.

Pressure after heating P1 = 1.4P. Temperature after heating T1 = T + 200 K.

Let’s make the equation:

P / T = (P * 1.4) / (T + 200 K);

P (T + 200 K) = 1.4PT;

T + 200 K = 1.4T;

0.4T = 200K;

T = 200 K / 0.4 = 500 K.

Temperature value in degrees Celsius:

T = (t + 273) K;

t = (T – 273) ° C;

t = (500 – 273) ° С = 227 ° С.

Answer: 227 ° C.