Question

Calculate the quantity of work, in joules, associated with the compression of a gas from 5.64 L to 3.35 L by a constant pressure of 1.21 atm ...?

Answer 1

The work associated with the compression of a gas from 5.64 L to 3.35 L by a constant pressure of 1.21 atm can be calculated by converting the pressure to Pascals, finding the change in volume, calculating the work in liter-atmospheres, and converting this value to joules using the conversion factor 1 L'atm = 101.3 J.

Step-by-step explanation:

Work Done by a Gas during Compression

To calculate the quantity of work associated with the compression of a gas from 5.64 L to 3.35 L by a constant pressure of 1.21 atm, you'll need to use the work formula for pressure-volume work:

W = -P ΔV

where W is the work done on the gas (in liter-atmospheres), P is the constant pressure, and ΔV is the change in volume. Since work done on the gas is considered positive when the gas is compressed, the change in volume (ΔV) will be negative in this case. First, convert the pressure from atm to Pa (Pascals) using the conversion 1 atm = 101.325 kPa = 101325 Pa, and calculate ΔV in liters. Then, calculate the work in liter-atmospheres and use the conversion factor 1 L'atm = 101.3 J to convert to joules.

Work calculation:

1. Convert pressure: 1.21 atm = (1.21 x 101325) Pa

2. Calculate ΔV: ΔV = 3.35 L - 5.64 L = -2.29 L

3. Calculate work in liter-atmospheres: W = - (1.21 x 101325 Pa) x (-2.29 L) = Work in liter-atmospheres

4. Convert to joules: W (in J) = Work in liter-atmospheres x 101.3 J/L'atm

Perform the multiplication to find the work done on the gas in joules.

Answer 2

In thermodynamics, work performed by a system is the energy transferred by the system to its surroundings. It is calculated by the integral of pressure and volume of the system. At constant pressure, the expression for work would be as follows:

W = P(V2-V1)
W = 1.21(3.35 -5.64) = -2.77 L-atm
W = -2.77 (101.33) = -280.78 J