Question

Carbon dioxide is in a steel tank at 20C 10 liters and 1 atm. What is the pressure on the gas when the tank is heated to 100C?

Answer 1

1.273 atm

Step-by-step explanation:

We are given:

P1 = 1 atm P2 = x atm

T1 = 20 degree celsius or 293 k T2 = 100 degree celsius OR 373 k

Since the volume remains constant, we don't have to talk about that

From the Gas equation:

PV = nRT

Since number of moles (n) , Universal gas constant (R) , Volume of the gas (V) are constants

P / T = k (where k is a constant)

Hence we can say that P1 / T1 = k --------------(1)

Also, P2 / T2 = k -------------------------------------(2)

where k is the same constant

From (1) and (2):

P1 / T1 = P2 / T2

Now, plugging the values in this equation

1 / 293 = x / 373

x = 373 / 293

x = 1.273 atm

Therefore, the pressure of CO2 after increasing the temperature to 100 degree celsius is 1.273 atm