Answer:
458.7 mmHg
Explanation:
Step 1:
Data obtained from the question. This includes:
Initial volume (V1) = 70L
Initial pressure (P1) = 600 mmHg
Initial temperature (T1) = 20°C
Final temperature (T2) = 15°C
Final volume (V2) = 90L
Final pressure (P2) =...?
Step 2:
Conversion of celsius temperature to Kelvin temperature.
This is illustrated below:
T(K) = T (°C) + 273
Initial temperature (T1) = 20°C
Initial temperature (T1) = 20°C + 273 = 293K
Final temperature (T2) = 15°C
Final temperature (T2) = 15°C + 273 = 288K
Step 3:
Determination of the new pressure of the gas.
The new pressure of the gas can be obtained by using the general gas equation as shown below:
P1V1/T1 = P2V2/T2
600 x 70/293 = P2 x 90/288
Cross multiply to express in linear form
P2 x 90 x 293 = 600 x 70 x 288
Divide both side by 90 x 293
P2 = (600 x 70 x 288) / (90 x 293)
P2 = 458.7 mmHg
Therefore, the new pressure of the gas is 458.7 mmHg
