Answer :
Answer:
Pf= 190 mmHg
Explanation:
(Pi×Vi)/Ti = (Pf×Vf)/T2
Initial Pressure Pi = 756mmHg,
Initial Volume Vi = 2L,
Initial Temperature Ti = 0°C=273K
Final Pressure Pf = ?,
Final Volume Vf = 2L+ Vi = 4L,
Final Temperature T2= 137K
Pf = (Pi × Vi × T2 )/(Vf × Ti)
Pf = (756 × 2 × 137)/(4 × 273)
Pf = 189.7 mmHg
Pf approx. 190mmHg
The combined gas law states the relationship between temperature, pressure, and volume. The final pressure of the gas is 190 mmHg.
What is combined gas law?
Combined gas law states the relationship between the initial pressure, volume, and temperature to the final and is given as,
[tex]\rm \dfrac{P_{i} \times V_{i}}{T_{i}} = \rm \dfrac{P_{f} \times V_{f}}{T_{f}}[/tex]
Given,
Initial Pressure = 756 mmHg
Initial Volume = 2 L
Initial Temperature = 273 K
Final Volume = 4 L
Final Temperature = 137 K
The final pressure is calculated as:
[tex]\begin{aligned} \rm P_{f} &= \rm \dfrac{P_{i} \times V_{i} \times T_{f}}{V_{f} \times T_{i}}\\\\&= \dfrac{756 \times 2 \times 137}{4 \times 273}\\\\&= 189.7 \;\rm mmHg\end{aligned}[/tex]
Therefore, 190 mmHg is the final pressure.
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