The compressibility of water is 4 xx 10 ^(-5)per unit atmospheric pressure. The decrease in volume of 100 cm^(3) of water under a pressure of 100 atmosphere will be .........

The compressibility of water is 4 xx 10 ^(-5)per unit atmospheric pres

1.	The compressibility of water is 4 xx 10 ^(-5)per unit atmospheric pressure. The decrease in volume of 100 cm^(3) of water under a pressure of 100 atmosphere will be .........
Answer» `0.4 CM ^(3)` `4 xx 10 ^(-5) cm ^(3)` `0.025 cm ^(3)` `0.004 cm ^(3)` Solution :We know that the compresibility `K = 1/B` `therefore K = (1)/(- (Delta P )/( Delta V //V )) = - (Delta V//V)/( Delta P ) =- (Delta V )/( V Delta P )` `therefore Delta V =- KV Delta P` `=-4 xx 10 ^(-5) (m ^(2))/( N ) xx 100 cm ^(3) xx 100 (N)/(m ^(2))=-0.4 cm ^(3)` `therefore` Decrease in volume `=0.4 cm ^(3)`