Question

For the following system, calculate the correct value for work done by the system.

Hint: ΔU = (Qin - Qout) - (Wout - Win)

A) Wout = 55 J
B) Wout = -42 J
C) Wout = -82 J
D) Wout = 82 J

Answer 1

Values=
Qin = 55j
ΔU= 42j
Qout= 10j
Wout= ?j
Win= 79j

Answer 2

To calculate the work done by the system using the hint provided, we can use the formula:

\[
\Delta U = (Q_{in} - Q_{out}) - (W_{out} - W_{in})
\]

However, to solve for \( W_{out} \), we need the values of \( \Delta U \), \( Q_{in} \), \( Q_{out} \), and \( W_{in} \).

Since it seems there are no values provided for those quantities, I am unable to directly calculate the value for \( W_{out} \) without additional information regarding the change in internal energy \(\Delta U\), heat transfer \( Q_{in} \) and \( Q_{out} \), and work input to the system \( W_{in} \).

If you can provide the values or additional context for these terms, I will be happy to help you calculate the correct value for \( W_{out} \).

Answer 3

We can use the formula given in the hint to calculate \( W_{out} \):

\[
\Delta U = (Q_{in} - Q_{out}) - (W_{out} - W_{in})
\]

Rearranging this formula to solve for \( W_{out} \):

\[
W_{out} = Q_{in} - Q_{out} - \Delta U + W_{in}
\]

Now, we can substitute the given values:

- \( Q_{in} = 55 \, \text{J} \)
- \( Q_{out} = 10 \, \text{J} \)
- \( \Delta U = 42 \, \text{J} \)
- \( W_{in} = 79 \, \text{J} \)

Substituting these into the formula:

\[
W_{out} = 55 - 10 - 42 + 79
\]

Calculating step by step:

1. \( Q_{in} - Q_{out} = 55 - 10 = 45 \)
2. \( 45 - \Delta U = 45 - 42 = 3 \)
3. \( 3 + W_{in} = 3 + 79 = 82 \)

Thus,

\[
W_{out} = 82 \, \text{J}
\]

Therefore, the correct value for \( W_{out} \) is **82 J** (Option D).