The pressure of a gas in a container is estimated to be the force exerted per cross-sectional area. If a factor F=(20.0+/-0.5)N.acts on a rectangular cross-section of the container with dimensions x=(5.0+/-0.5). Calculate fractional change in pressure and percentage error in pressure of gas
Total error is (0.54)^1/2=0.73
0.73/20×100=3.65%
To calculate the fractional change in pressure and the percentage error in the pressure of the gas, we need to use the given values and the total error.
The fractional change in pressure can be calculated by dividing the total error by the original pressure. In this case, the original pressure is given as F = 20.0 N, so the fractional change in pressure is:
Fractional change in pressure = (Total error / Original pressure) * 100
Let's substitute the values into the formula:
Fractional change in pressure = (0.73 / 20.0) * 100 = 3.65%
To calculate the percentage error in pressure, we divide the total error by the original pressure and multiply by 100. Using the given values:
Percentage error in pressure = (Total error / Original pressure) * 100
Substituting the values into the formula:
Percentage error in pressure = (0.73 / 20.0) * 100 = 3.65%
Therefore, the fractional change in pressure is 3.65% and the percentage error in pressure is also 3.65%.