A certain quantity of air has volume of 0.028 m3 at a pressure of 1.25 bar and 25oC. It is compressed to a volume of 0.0042 m3 according to a law pv1.3 = C. Find the final temperature and work done during compression. Also determine the reduction in pressure at constant volume to bring air back to its original volume.
Answers
Answer:
mark as Brainliest
Explanation:
Guillaume Amontons was the first to empirically establish the relationship between the pressure and the temperature of a gas (~1700), and Joseph Louis Gay-Lussac determined the relationship more precisely (~1800). Because of this, the P–T relationship for gases is known as either Amontons’s law or Gay-Lussac’s law. Under either name, it states that the pressure of a given amount of gas is directly proportional to its temperature on the kelvin scale when the volume is held constant. Mathematically, this can be written:
\displaystyle P\propto T\text{ or }P=\text{constant}\times T\text{ or }P=k\times TP∝T or P=constant×T or P=k×T
where ∝ means “is proportional to,” and k is a proportionality constant that depends on the identity, amount, and volume of the gas.
For a confined, constant volume of gas, the ratio \displaystyle \frac{P}{T}
T
P
is therefore constant (i.e., \displaystyle \frac{P}{T}=k
T
P
=k ). If the gas is initially in “Condition 1” (with P = P1 and T = T1), and then changes to “Condition 2” (with P = P2 and T = T2), we have that \displaystyle \frac{{P}_{1}}{{T}_{1}}=k
T
1
P
1
=k and \displaystyle \frac{{P}_{2}}{{T}_{2}}=k,
T
2
P
2
=k, which reduces to \displaystyle \frac{{P}_{1}}{{T}_{1}}=\frac{{P}_{2}}{{T}_{2}}.
T
1
P
1
=
T
2
P
2
. This equation is useful for pressure-temperature calculations for a confined gas at constant volume. Note that temperatures must be on the kelvin scale for any gas law calculations (0 on the kelvin scale and the lowest possible temperature is called absolute zero). (Also note that there are at least three ways we can describe how the pressure of a gas changes as its temperature changes: We can use a table of values, a graph, or a mathematical equation.)
hope it's helpful❤❤
Answer:
A certain quantity of air has volume of 0.028 m3 at a pressure of 1.25 bar and 25oC. It is compressed to a volume of 0.0042 m3 according to a law pv1.3 = C. Find the final temperature and work done during compression. Also determine the reduction in pressure at constant volume to bring air back to its original volume.