Question

A rigid tank contains air at a pressure of 70 psia and a temperature of 55 ˚F. By how much will the pressure increase as the temperature is increased to 115 ˚F?

Answer 1

P_2 = 62.69 psi

Step-by-step explanation:

given,

P₁ = 70 psia T₁ = 55° F = (55 + 459.67) R

P₂ = ? T₂ = 115° F = (115 + 459.67) R

we know,

p = ρ RT

ρ is the density which is constant

R is also constant

now,

`(P_2)/(P_1) =(T_2)/(T_1)`

`(P_2)/(70) =(55+459.67)/(115+459.67)`

P_2 = 62.69 psi

Hence, the increase in Pressure is equal to P_2 = 62.69 psi