Mathematics, 16.04.2020 20:46 vaehcollier

The volume of gas varies inversely as the pressure. A volume of gas is 120 cubic feet under 6 pounds of pressure. What is the volume at the same temperature when the pressure is 8 pounds?

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Answer from: owenr4758

The volume of gas is 80 cubic feet at the same temperature when the pressure is 8 pounds.

Step-by-step explanation:

The given is,

Volume of gas is 120 cubic feet under 6 pounds of pressure.

Volume of gas varies inversely as the pressure.

Pressure is 8 pounds

Step:1

From the given,

Volume of gas varies inversely as the pressure,

$P_{gas}$ ∝ $\frac{1}{V_{gas} }$ .......................................(1)

Ratio of volume to pressure of gas is,

= $\frac{120}{6}$ = 20

Step:2

Pressure of gas is increased 6 to 8 pounds,

Change in pressure = 8 - 6 = 2 pounds

Change in volume = Ratio × change in pressure

= 20 × 2 = 40 cubic feet

Step:3

From the equation (1),

The pressure is increased, the volume of gas is reduced.

Volume of gas at pressure of 8 pounds = 120 - 40

= 80 cubic feet

Result:

The volume of gas is 80 cubic feet at the same temperature when the pressure is 8 pounds.

Answer from: Quest

3+x

step-by-step explanation:

Answer from: Quest

One shot. if 60% of 10 is 6, then what is 70%? we know it would be seven (since 60% is mathematically 60/100, or 6/10, then 70% is 70/100, or 7/10) but we can check anyway using ratios: 6 : 60% = x : 70%*inverse multiplicationx * 60% = 6 * 70%*divide both sides by 60%x = (6 * 70%) / 60%x = 7and since he has made 6 shots already, he would need just one more to get 7 shots or 70%. if the explanation is too confusing, comment and i will try to

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The volume of gas varies inversely as the pressure. A volume of gas is 120 cubic feet under 6 pounds...

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