Question

The pressure in a bicycle tire is 1.34atm at 33.0 ° C. At what temperature will the pressure inside the tire be 1.60atm?

Answer 1

92.37°C

Step-by-step explanation:

Assuming the volume remains the same in both the states ( bicycle tire).

Then as per ideal gas equation

`P_1/T_1 = P_2/T_2`

where P1, P2 are pressure at two different states and T1, T2 are temperature at these two states

Given:

P1 = 1.34 atm, T1 = 33.0 ° C = 306K

P2 = 1.60 atm, T2 = ?

1.34/306 = 1.60/T_2

⇒ T2 = 1.60×306/1.34

= T2= 365.37K= 92.37°C