To calculate the pressure inside the can when it is heated to 298°C, you can use the combined gas law formula, which combines Boyle's Law, Charles's Law, and Gay-Lussac's Law.
Here's the formula for the combined gas law:
\[
\frac{P_1 \times V_1}{T_1} = \frac{P_2 \times V_2}{T_2}
\]
Where:
- \(P_1\) = initial pressure (148.5 kPa)
- \(V_1\) = initial volume (assumed constant in this case)
- \(T_1\) = initial temperature in Kelvin (23°C + 273 = 296 K)
- \(P_2\) = final pressure (what we need to find)
- \(V_2\) = final volume (assumed constant in this case)
- \(T_2\) = final temperature in Kelvin (298°C + 273 = 571 K)
Now, plug in the values:
\[
\frac{148.5 \times V_1}{296} = \frac{P_2 \times V_2}{571}
\]
Since the volume is assumed constant, we can simplify the equation to find the final pressure:
\[
148.5 \times \frac{296}{571} = P_2
\]
After calculating this, you will get the pressure inside the can when heated to 298°C.
