A gas-forming reaction produces 1.60 m3 of gas against a constant pressure of 127.0 kPa. Calculate the work done by the gas in joules.
Please explain. Thanks!
work = -p*delta V
work = -127 kPa*1.60m^3 = ?joules.
To calculate the work done by the gas, we can use the formula:
Work = Pressure * Volume
Given:
Pressure = 127.0 kPa
Volume = 1.60 m3
However, we need to convert the pressure from kilopascals (kPa) to pascals (Pa) and the volume from cubic meters (m3) to liters (L) before proceeding with the calculation.
1 kPa = 1000 Pa (since 1 kPa is equal to 1000 pascals)
1 m3 = 1000 L (since 1 cubic meter is equal to 1000 liters)
Converting the pressure:
Pressure = 127.0 kPa * 1000 Pa/kPa
Pressure = 127,000 Pa
Converting the volume:
Volume = 1.60 m3 * 1000 L/m3
Volume = 1600 L
Now we have the pressure in pascals and the volume in liters, so we can calculate the work done:
Work = Pressure * Volume
Work = 127,000 Pa * 1600 L
To calculate the work, we multiplied the pressure (in pascals) by the volume (in liters). The result will be in pascal-liters (Pa·L). However, to get the work in joules, we need to convert pascal-liters to joules.
Conversion factor: 1 Pa·L = 1 J (joule)
Work = 127,000 Pa * 1600 L = 203,200,000 Pa·L
Therefore, the work done by the gas is 203,200,000 joules.