Ideal gas is contained in a closed vessel of constant volume. When the gas was heated to 200 ° C
February 8, 2021 | education
| 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.
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