Question

the pressure in a tire is 1.90 atm at 25∘c. if the temperature is increased to 35∘c, what will the new pressure be in atmospheres?

Answer 1

The new pressure is roughly 1.964 atm.

Step-by-step explanation:

According to Gay-Lussac's Law, the pressure of a fixed amount of gas is directly proportional to its kelvin temperature at constant volume.

This can be represented by:

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

Notice that we use kelvin temperatures and not celsius.

thus:

`(1.9)/(298)=(P_2)/(308)\\ P_2=(1.9* 308)/(298)=1.964` (roughly)