Answer:
2.13atm
Step-by-step explanation:
The following information were obtained from the question:
P1 (initial pressure) = 2atm
T1 (initial temperature) = 27°C = 27 + 273 = 300K
T2 (final temperature) = 47°C = 47 + 273 = 320K
P2 (final pressure) =?
Using the equation P1/T1 = P2/T2, the final pressure within the tyre can be obtained as illustrated below:
P1/T1 = P2/T2
2/300 = P2/320
Cross multiply to express in linear form
300 x P2 = 2 x 320
Divide both side by 300
P2 = (2 x 320)/300
P2 = 2.13atm
Therefore, the pressure within the tyre at 47°C is 2.13atm