Question

pressure of a gas in a closed cylinder is expressed in the following way p=pa + hpg. identify the expression for a) absolute pressure of gas. b) gauge pressure of gas​

Answer 1

Absolute pressure of the gas = Pa + hpg and Gauge pressure of the gas = P - Pa = hpg

Explanation:

As per he question statement:

The given way to solve the query is p = pa + hpg.

Similarly for

(a) Absolute pressure of the gas = Pa + hpg

And for Gauge pressure.

​(b) Gauge pressure of the gas = P - Pa = hpg

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Answer 2

(I). The absolute pressure is $P_{ab}=h\rho g+P_{atm}$

(II). The gauge pressure is $h\rho g=P_{ab}-P_{atm}$

Explanation:

Given that,

The pressure of a gas in a closed cylinder is expressed

$P=P_{a}+h\rho g$

(I). We need to calculate the absolute pressure

Using formula of absolute pressure  

$P_{ab}=P_{g}+P_{atm}$

$P_{ab}=\rho hg+P_{atm}$

Where, $P_{g}$ = gauge pressure

h = height

$\rho$ = density

g = acceleration due to gravity

$P_{ab}$ = absolute pressure

(II). We need to calculate the gauge pressure

Using formula of gauge pressure

$P_{ab}=P_{g}+P_{atm}$

$P_{g}=P_{ab}-P_{atm}$

$h\rho g=P_{ab}-P_{atm}$

Here, $\rho gh$ = gauge pressure

Hence, (I). The absolute pressure is $P_{ab}=h\rho g+P_{atm}$

(II). The gauge pressure is $h\rho g=P_{ab}-P_{atm}$

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