QUESTION 4 HEAT 4.1 I 90 litre cylinder is filled with nitrogen to capacity at a pressure of $$ 20,11 \mathrm{kPa} $$. If the cylinder enlarges, the pressure drops to 11 kPa . Calculate the increase in the volume of the cylinder.

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We assume that the process is isothermal so that Boyle’s law holds, meaning that the product of the pressure and volume remains constant. That is,

$$
P_1 V_1 = P_2 V_2
$$

**Step 1. Write down the known values:**

- Initial pressure: $$ P_1 = 20.11 \, \text{kPa} $$
- Initial volume: $$ V_1 = 90 \, \text{litres} $$
- Final pressure: $$ P_2 = 11 \, \text{kPa} $$

**Step 2. Set up Boyle’s law to find the final volume $$ V_2 $$:**

$$
V_2 = \frac{P_1 V_1}{P_2} = \frac{20.11 \times 90}{11}
$$

**Step 3. Compute $$ V_2 $$:**

$$
V_2 = \frac{20.11 \times 90}{11} \approx \frac{1809.9}{11} \approx 164.54 \, \text{litres}
$$

**Step 4. Calculate the increase in volume $$ \Delta V $$:**

$$
\Delta V = V_2 - V_1 = 164.54 - 90 \approx 74.54 \, \text{litres}
$$

Thus, the increase in the volume of the cylinder is approximately $$74.54$$ litres.
The volume of the cylinder increases by approximately 74.54 litres.

QUESTION 4 HEAT 4.1 I 90 litre cylinder is filled with nitrogen to capacity at a pressure of \( 20,11 \mathrm{kPa} \). If the cylinder enlarges, the pressure drops to 11 kPa . Calculate the increase in the volume of the cylinder.

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