Question

(58) The pressure of a gas in a tank is 422 psi at

20.0K. What is the pressure at 60.0K?
a. 1270 psi
7.480 atm
c. 1270 atm
d. 480 psi

Answer 1

1270 Psi

Step-by-step explanation:

We are given;

• Pressure in the tank, P₁ as 422 psi
• Temperature in the tank, T₁ as 20.0 K
• New temperature in the tank, T₂ as 60.0 K

We are required to determine the pressure at 60.0 K

• We are going to use the pressure law;
• According to the pressure law, the pressure of a gas is directly proportional to the temperature at constant volume.

• That is;
  `P\alpha T`

• Thus,
  `(P)/(T)=constant`

• At different pressures and temperature;

`(P1)/(T1) =(P2)/(T2)`

• Thus, rearranging the formula;

`P2=(P1T2)/(T1)`

Hence;

`P1=((422Psi)(60K))/(20)`

`P1=1266Psi`

Therefore;

P₂=1266 Psi

= 1270 Psi

Thus, the pressure at 60.0 K is 1270 Psi