The volume V of a gas varies inversely as pressure P is exerted. If V = 4 liters when P = 3 atmospheres, how do you find V when P = 7 atmospheres?

Nadia Smith

Nadia Smith

Answered question

2022-09-05

The volume V of a gas varies inversely as pressure P is exerted. If V = 4 liters when P = 3 atmospheres, how do you find V when P = 7 atmospheres?

Answer & Explanation

Waylon Jenkins

Waylon Jenkins

Beginner2022-09-06Added 17 answers

the relationship is V 1 P
to convert to an equation multiply by k the constant of variation
V = k P
to find k use the given condition
V=4 when P=3
V = k P k = P V = 3 × 4 = 12
the equation is | 2 2 V = 12 P 2 2 | ̲ ¯
when P=7
V = 12 7 litres

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