ΔV over V nothing in various other words. Therefore this is the readjust in volume split by the original volume. Therefore we space going to additionally look up the mass modulus for water which is 2.2 times 10 come the 9 newtons per square meter— that's for water— and also we'll usage this formula to solve for the pressure which is force separated by area and we'll execute that by multiply both sides by mass modulus over the initial volume and also so we have actually the push then is the fractional readjust in volume multiply by the mass modulus. And also that is 9.05 times 10 come the minus 2 times 2.2 times 10 come the 9 newtons per square meter which is 2.0 time 10 come the 8 newtons every square meter. Currently to decide whether or not that's a large number, let's use the press at the bottom the the Mariana trench— which is the deepest component of the ocean— together a allude of comparison and also that press I looked up in Google is 1.1 times 10 to the 8 newtons per square meter. And also so the press of water freezing separated by the press at the bottom the the Mariana trench is 2.0 time 10 come the 8 over 1.1 time 10 to the 8 which is 1.8. So the pressure of freezing water is greater than the highest possible pressure in the ocean by a factor of virtually 2 so it's no surprised that freezing water deserve to crack strong materials.">

You are watching: When water freezes, its volume increases by 9.05% (that is, δv / v0 = 9.05 × 10-2). This is university Physics Answers through Shaun Dychko. Once water freezes, it has actually a fractional change in volume that 9.05 times 10 come the minus 2 and also that is ΔV end V naught in other words. Therefore this is the readjust in volume split by the original volume. For this reason we room going to also look increase the bulk modulus because that water i m sorry is 2.2 times 10 to the 9 newtons per square meter— that"s because that water— and also we"ll usage this formula to fix for the pressure which is force split by area and also we"ll execute that by multiplying both political parties by mass modulus end the original volume and so we have the push then is the fractional adjust in volume multiplied by the mass modulus. And that is 9.05 time 10 to the minus 2 times 2.2 time 10 come the 9 newtons per square meter i m sorry is 2.0 time 10 to the 8 newtons per square meter. Now to decide whether or no that"s a huge number, let"s use the push at the bottom that the Mariana trench— i m sorry is the deepest component of the ocean— as a point of comparison and also that push I looked increase in Google is 1.1 time 10 to the 8 newtons every square meter. And also so the push of water freezing separated by the press at the bottom the the Mariana trench is 2.0 time 10 to the 8 end 1.1 time 10 come the 8 i beg your pardon is 1.8. Therefore the push of freezing water is greater than the highest possible pressure in the ocean by a factor of nearly 2 therefore it"s no surprise that freeze water deserve to crack solid materials.
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