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» <html><body><p>`0.4 <a href="https://interviewquestions.tuteehub.com/tag/cm-919986" style="font-weight:bold;" target="_blank" title="Click to know more about CM">CM</a> ^(3)`<br/>`4 xx <a href="https://interviewquestions.tuteehub.com/tag/10-261113" style="font-weight:bold;" target="_blank" title="Click to know more about 10">10</a> ^(-5) cm ^(3)`<br/>`0.025 cm ^(3)`<br/>`0.004 cm ^(3)`</p>Solution :We know that the compresibility <br/> `K = 1/B` <br/> `therefore K = (1)/(- (Delta P )/( Delta V //V )) = - (Delta V//V)/( Delta P ) =- (Delta V )/( V Delta P )` <br/> `therefore Delta V =- KV Delta P` <br/> `=-4 xx 10 ^(-5) (m ^(2))/( N ) xx <a href="https://interviewquestions.tuteehub.com/tag/100-263808" style="font-weight:bold;" target="_blank" title="Click to know more about 100">100</a> cm ^(3) xx 100 (N)/(m ^(2))=-0.4 cm ^(3)` <br/> `therefore` Decrease in volume `=0.4 cm ^(3)`</body></html>