1g H2 gas expand at STP to occupy double of its original volume. The w...
(d), Work done = PdV = nRTn=0.5T = 273 KR = 2 K/CalBoth, temperature and pressure are constant, we cannot conclude that the process is isothermal or isobaric.
1g H2 gas expand at STP to occupy double of its original volume. The w...
Given:
- Initial volume of H2 gas (V1) = 1 g
- Final volume of H2 gas (V2) = 2 * V1
- Initial pressure of H2 gas (P1) = 1 atm (STP conditions)
- Final pressure of H2 gas (P2) = P1 (since the temperature is constant)
- Work done during the expansion process = ?
Formula for work done:
The work done during an isothermal expansion or compression process can be calculated using the formula:
Work = -P * ΔV
Where:
P is the pressure of the gas
ΔV is the change in volume of the gas (V2 - V1)
Solution:
Step 1: Calculate the change in volume (ΔV)
Since the final volume is double the initial volume, we have:
ΔV = V2 - V1
= 2 * V1 - V1
= V1
Step 2: Calculate the work done using the formula:
Work = -P * ΔV
Since the pressure remains constant during the process, we can substitute P1 for P:
Work = -P1 * ΔV
Step 3: Convert the work done into calories
1 calorie = 4.18 joules
We know that 1 atm = 101.3 J
Therefore, 1 cal = 101.3 J / 4.18
= 24.27 J
So, the work done in calories can be calculated as:
Work (cal) = Work (J) / 24.27
Substituting the values, we get:
Work (cal) = -P1 * ΔV / 24.27
Step 4: Substitute the given values to calculate the final result:
P1 = 1 atm
ΔV = V1 = 1 g
Work (cal) = -1 atm * 1 g / 24.27
Simplifying the expression, we get:
Work (cal) = -0.0412 cal
Since work cannot be negative, we take the absolute value:
Work (cal) = 0.0412 cal
Answer:
The work done during the expansion process is approximately 0.0412 calories.
Therefore, the correct answer is not provided in the options given.
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