# Calculate the work done on the gas during the expansion

• rutherfordln
In summary, the problem involves an ideal gas undergoing an expansion at a constant pressure of 1.00 atm to four times its original volume. The task is to calculate the new temperature and the work done on the gas during the expansion. Using the ideal gas equation, P_fV_f/P_iV_i = nRT_f/nRT_i, we can solve for both values.
rutherfordln

## Homework Statement

One mole of an ideal gas initially at a temperature of T$$_{}i$$ = 4$$\circ$$ C undergoes an expansion at a constant pressue of 1.00 atm, to four times its original volume.

a.) Calculate the new temperature T$$_{}f$$ of the gas.
answer in K
b.) Calculate the work done on the gas during the expansion.
answer in Kj

## Homework Equations

P$$_{}f$$V$$_{}f$$/P$$_{}i$$V$$_{}i$$ = nRT$$_{}f$$/nRT$$_{}i$$

## The Attempt at a Solution

rutherfordln said:

## The Attempt at a Solution

...?

Im not sure where to start

Well you have the ideal gas equation, as you have already pointed out. What do you think we could do with it?

## 1. How do you calculate the work done on the gas during expansion?

To calculate the work done on a gas during expansion, you can use the formula W = PΔV, where W represents work, P represents the pressure of the gas, and ΔV represents the change in volume of the gas.

## 2. What is the unit of measurement for work done on gas in an expansion?

The unit of measurement for work done on gas during expansion is joules (J).

## 3. How does the work done on a gas during expansion affect its internal energy?

The work done on a gas during expansion can change its internal energy. If the gas expands and does work on its surroundings, its internal energy decreases. If the gas is compressed and work is done on it, its internal energy increases.

## 4. Can the work done on a gas during expansion be negative?

Yes, the work done on a gas during expansion can be negative. This occurs when the gas is compressed and work is done on it, resulting in a decrease in its internal energy.

## 5. What other factors can affect the work done on a gas during expansion?

The work done on a gas during expansion can also be affected by the temperature of the gas, the type of expansion (isothermal, adiabatic, etc.), and the type of gas (ideal or non-ideal).

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