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3 years ago

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When water freezes, it expands about nine percent. What would be the pressure increase inside your automobile engine block if th

e water in there froze? The bulk modulus of ice is 2.0 × 109 N/m2, and 1 ATM = 1.01 × 105 N/m2.

1 answer:

pogonyaev3 years ago

6 0

Answer:

The pressure increase inside the automobile engine block is 1782.18 ATM

Explanation:

Given;

the change in volume of water, ΔV = 9%

the bulk modulus of ice, K = 2 x 10⁹ N/m²

Bulk modulus is given by;

$K = -V\frac{dP}{dV}$

for pressure increase in the automobile engine block, when the water in there froze;

$dP = K(\frac{dV}{V} )\\\\dP = K(\frac{0.09V}{V} )\\\\dP = 0.09K\\\\dP = 0.09 (2*10^9)\\\\dP = 1.8 *10^{8} \ N/m^2\\\\dP = 1782.18 \ ATM$

Therefore, the pressure increase inside the automobile engine block is 1782.18 ATM

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