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Lostsunrise
3 months ago
5

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.
Physics
1 answer:
Keith_Richards [3.2K]3 months ago
6 0

Answer:

The increase in pressure within the engine block of the car amounts to 1782.18 ATM.

Explanation:

Provided:

the volume change of water, ΔV = 9%

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

It is calculated using the bulk modulus formula;

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

so when the water freezes, the pressure increase in the automobile engine block is;

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

Thus, the final pressure increase inside the automobile engine block is 1782.18 ATM.

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