The volume of an ideal gas is increased form 0.8m to 2.4m while maintaining a constant pressure of 1000Pa (1Pa = 1N/m ). How much work must be done by the gas in this expansion?
W = p•ΔV =1000•(2.4- 0.8) = 1666 J
To find the work done by the gas in this expansion, we can use the formula:
Work = Pressure * Change in Volume
In this case, the pressure is given as 1000Pa, and the change in volume is from 0.8m to 2.4m. So, we need to compute the change in volume first:
Change in Volume = Final Volume - Initial Volume
= 2.4m - 0.8m
= 1.6m
Now, we can substitute the values into the formula to calculate the work:
Work = Pressure * Change in Volume
= 1000Pa * 1.6m
= 1600 N⋅m
= 1600 J (since 1 N⋅m = 1 J)
Therefore, the work done by the gas in this expansion is 1600 Joules.