Answer:
20743.24 Nm¯²
Explanation:
From the question given above, the following data were obtained:
Initial pressure (P1) = 20000 Nm¯²
Initial temperature (T1) = 23 °C
Final temperature (T2) = 34 °C
Final pressure (P2) =?
Volume = constant
Next, we shall convert celsius temperature to Kelvin temperature. This can be obtained as follow:
T(K) = T(°C) + 273
Initial temperature (T1) = 23 °C
Initial temperature (T1) = 23 °C + 273 = 296 K
Final temperature (T2) = 34 °C
Final temperature (T2) = 34 °C + 273 = 307 K
Finally, we shall determine the final (i.e the new) pressure of the tyre.
Initial pressure (P1) = 20000 Nm¯²
Initial temperature (T1) = 296 K
Final temperature (T2) = 307 K
Final pressure (P2) =?
Volume = constant
Since the volume is constant, the final (i.e the new) pressure of the tyre can be obtained by using the following formula:
P1/T1 = P2/T2
20000 / 296 = P2 /307
Cross multiply
296 × P2 = 20000 × 307
Divide both side by 296
P2 = (20000 × 307) /296
P2 = 20743.24 Nm¯²
Therefore, the new pressure of the tyre is 20743.24 Nm¯²
