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Answers
Explanation:
Gud afternoon
\LARGE{ \underline{\underline{ \sf{Required \: answer:}}}}
Requiredanswer:
GiveN:
Initial gas at press. = 1080 mm of Hg
Volume decreased to 40%
[ At a constant temperature ]
To FinD:
New pressure of the gas....?
Step-by-Step Explanation:
Let the initial volume be V
Then final volume will be 40% of V = 0.4 V
Now, as the temperature is constant here. We can use Boyle' law which says about the relationship between the pressure and volume of a gas.
Boyle's law:
\because \boxed{ \rm{P_1V_1 = P_2V_2}}∵
P
1
V
1
=P
2
V
2
Here,
P1 = Initial pres. of the gas = 1080 mm of Hg
V1 = Initial vol. of the gas = V
V2 = Final vol. of the gas = 0.4 V
Plugging the values in the formula,
⇒ 1080 × V = P2 × 0.4 V
⇒ 1080 / P2 = 0.4 V/V
⇒ 1080 / P2 = 0.4
⇒ P2 = 1080 / 0.4
⇒ P2 = 10800 / 4
⇒ P2 = 2700 mm of Hg
Thus, the final pres. of the gas will be 2700 mm of Hg.