Question

We identify the initial state of the gas to have a temperature of 31.0°C and a pressure of P_atm = 1.01 ✕ 10⁵ Pa.

We identify the final state of the gas to have an unknown temperature T_f and a pressure of 4P_atm = 4.04 ✕ 10⁵ Pa.

Evaluate the known quantities at each location.
The ideal gas law is PV = nRT.

Known quantities in the initial and final states must be evaluated. We identify initial and final quantities with iand f subscripts, respectively.

What is the initial pressure P_i of the gas?

a. 1.01 ✕ 10⁵ Pa

b. P_i is unknown.    

What is the initial volume V_i of the gas?

a. 1.01 ✕ 10⁵ Pa

b. V_i is unknown.    

Answer 1

1.

As initial pressure is given

so

Initial pressure P_i=1.0110⁵ Pa

2.

As initial volume is not given

So

initial volume is unknown.