# The pressure of a gas is 1.34 atm at a temperature of 298 K. What will the pressure be if the temperature is increased to 512 K?

Apr 21, 2016

2.30 atm

#### Explanation:

As Temperature is increased, Pressure is increased. Pressure is directly proportional to Temperature.

${P}_{1}$ / ${T}_{1}$ = ${P}_{2}$ / ${T}_{2}$

${P}_{1}$ = 1.34 atm , ${T}_{1}$ = 298 K

${P}_{2}$ = X atm , ${T}_{2}$ = 512 K

1.34 atm / 298 K = X atm / 512 K

rearranging we get,

1.34 atm x 512 K = 298 K . X atm

686.08 K atm = 298 K . X atm

X atm = 686.08 K atm / 298 K

X atm = 2.30 atm