Recall the ideal gas law energy relation: PV = nRT. (R = 0.082 l atm/mol K) cons

Question

Recall the ideal gas law energy relation: PV = nRT. (R = 0.082 l atm/mol K) constant pressure P = 1 atm Find the volume change for n = 0.1 mol of an ideal gas sa the temperature changes from T_0 = 200 degree C to T_f = 20 degree C. Constant volume v = 3 l. Find the temperature change for n = 0.1 mol of an ideal gas as the pressure changes from P-o = 0.5 atm to p_o = 4 atm. constant temperature T = 300 K. Find the pressure change for n = 0.1 mol of an ideal gas as the volume changes from v_0 = 1l to V_j = 10l.

Explanation / Answer

PV = nRT

initially

P is ocnstant

P*Vi = n*R*Ti

Ti = 200C = 473 K

Vi = 3.8786 L

final volume = Vi/Ti = Vf/Tf

Vf = Vi*Tf/Ti

Tf = 293K

Vf= 2.4026 L

change in volume = Vf - Vi = -1.476 L ( compression)

part b )

volume is constant

Ti = PV/nR

Ti = 182.97 K

Pi/Ti = Pf/Tf

Tf = 1463.415 K

change in temprature = 1280.445 K

part c )

Pi = nRTi/Vi

Pi = 2.46 atm

PiVi = Pf*Vf

Pf = 0.246 atm

change in pressure = -2.214 atm

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