$P_1*V_1 = P_2*V_2 \ \text{ ... Boyle's Law}\\\\4.5*1.5 = P_2*3.5\\\\6.75 = P_2*3.5\\\\P_2*3.5 = 6.75\\\\P_2 = \frac{6.75}{3.5}\\\\P_2 \approx 1.92857142857142\\\\P_2 \approx 1.9\\\\$

If the volume is 3.5 liters, then the pressure is approximately 1.9 atm.

Note the increase in volume leads to the reduction of pressure, and vice versa. The two variables have an inverse relationship.

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As a check,

$P_1*V_1 = P_2*V_2\\\\4.5*1.5 \approx 1.9*3.5\\\\6.75 \approx 6.65\\\\$

We don't get the exact thing on both sides, but the two sides are close enough. We have rounding error due to P2 being not exact.

A more accurate check could be

$P_1*V_1 = P_2*V_2\\\\4.5*1.5 \approx 1.92857*3.5\\\\6.75 \approx 6.749995\\\\$

which has the two sides much closer to one another. This helps us verify the answer.

5 0

3 years ago

Find the volume of the cylinder

Marta_Voda [28]

Answer:

500π m^3

Step-by-step explanation:

The question is not complete

Cylinders are described with dimensions as

Diameter and Height

Say the diameter is

D= 10m

and Height is

H=20

Hence the radius is

R= D/2= 10/2= 5 m

Therefore the volume is gotten as

V= πr^2h

V= π*5^2* 20

V= π*25*20

V= 500π m^3

Hence the volume is 500π m^3

4 0

3 years ago