What happens to the pressure of an ideal gas inside a container if the temperature increases from 25 oc to 100 oc but the volume and amount of gas remains constant? (0 oc = 273 k).

Respuesta :

By ideal gas approximation, the pressure will rise until 1.25 times greater than the initial pressure.

We need to know about the ideal gas theory to solve this problem. The ideal gas is assumed that there is no interaction between particles in a gas. It can be determined by the equation

P . V = n . R . T

where P is pressure, V is volume, n is the number of moles gas, R is the ideal gas constant (8.31 J/mol.K) and T is temperature.

From the question above, we know that

T1 = 25 ⁰C = 298 K

T2 = 100 ⁰C = 373 K

Assume that P1 = P

When the initial and final temperature is the same, we can use the ratio of pressure and temperature as

P1 / T1 = P2 / T2

P / 298 = P2 / 373

P2 = 1.25 P

Hence, the pressure will rise until 1.25 times greater than the initial pressure.

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