Nitrogen gas had a volume of 500mL a pressure in its closed

Nitrogen gas had a volume of 500mL, a pressure in its closed comtainer of 740.0 torr and temp of 25.0C. What was the volume of the gas when the temp was changed to 50.0C and the new pressure was 760.0 torr. Please show formula as well

Solution

PV = nRT

P1 = 740/760 = 0.97atm

V1 = 500ml = 0.5L

T1 = 25C = 298K

P2 = 760/760 = 1atm

T1 = 50C = 323K

as n and R are constant

P1*V1/T1 = P2*V2/T2

V2 = 0.52569L = 525.69ml....ANS