The Volume V of a fixed amount of a gas varies directly as the Temperature T and inversely as the Pressure P. Suppose that V=42cm3 when T=84K and P= 8 kg/cm2. Find the pressure when T=185^k and V=74cm^3

Tamara Bryan

Tamara Bryan

Answered question

2022-07-31

The Volume V of a fixed amount of a gas varies directly as the Temperature T and inversely as the Pressure P.
Suppose that V = 42 c m 3 when T = 84 K and P = 8   k g / c m 2 . Find the pressure when T = 185 k and V = 74 c m 3

Answer & Explanation

frisiao

frisiao

Beginner2022-08-01Added 13 answers

Step 1
V = k T P
So P 1 P 2 = T 1 × V 2 T 2 × V 1 = 84 × 74 185 × 42 = 4 5
So P 2 = 5 4 × P 1 = 10   k g / c m 3

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