Gas is stored in a vessel at a temperature of 250K and a pressure of 800kPa. Determine the gas pressure at 350k.

Gas is stored in a vessel at a temperature of 250K and a pressure of 800kPa. Determine the gas pressure at 350k. isochoric process.

Given:

T1 = 250 K

p1 = 800 kPa = 8 * 10 ^ 5 Pa

T2 = 350 K

V = const

m = const

Find: p2 =?

Solution:

In the case of an isochoric process according to Charles’s law

for m = const at V = const р1 / Т1 = р2 / Т2.

Hence p2 = p1 * T2 / T1,

p2 = 8 * 10 ^ 5 Pa * 350 K / 250 K = 11.2 * 10 ^ 5 Pa.

That is, the pressure will become p2 = 1120 kPa.

Answer: as a result of isochoric heating, the gas pressure will increase to 1120 kPa.