Question

Calculate the minimum pressure required to compress 500 ml of air at 1 atm pressure to 300ml at the same temperature

Answer 1

Answer:

1.66 or 1.7 atm

Explanation:

we can use boyle law here

ie as preassure increses volume decrases

p inversley proportional to v at constant temeprature

p=k×1/v

pv=k

p2v2=p1v1

500×1=300×p

p=500/300=1.666 atm ie approx 1.7 atm

if

v=0.5L

v2=0.3L

p=1

p2=?

0.5×1=0.3×p

p =0.5/0.3=1.666 approx 1.7 atm

Answer 2

Answer:

The minimum pressure required to compress 500 ml of air at 1 atm pressure to 300ml at the same temperature is 1.66 atm

Explanation:

Using Boyle's law,

Pressure $\propto$$\frac{1}{volume}$

∴ $p_{1} v_{1} = p_{2} v_{2}$

According to the question,

$300 \times p_{1} =500\times 1$

$p_{1} =\frac{500}{300}$

=1.66 atm

∴The correct answer is 1.66 atm