# Water - Density and Specific Weight

## Density and specific weight of water at temperatures *0 - 100 *^{o}C (32 - 212 ^{o}F) - Imperial and SI Units

^{o}C (32 - 212

^{o}F)

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Pure water has it's highest density of *1000 kg/m ^{3}*

*(62.43 lb/ft*at temperature

^{3})*4*

^{o}C (39.2^{o}F).*1 kg/m*^{3}= 0.001 g/cm^{3}= 1 g/ml = 0.0005780 oz/in^{3}= 0.16036 oz/gal (Imperial) = 0.1335 oz/gal (U.S.) = 0.0624 lb/ft^{3}= 0.000036127 lb/in^{3}= 1.6856 lb/yd^{3}= 0.010022 lb/gal (Imperial) = 0.008345 lb/gal (U.S) = 0.0007525 ton/yd^{3}

### Density and Specific Weight of Water - Imperial Units

Temperature - t -(^{o}F) | Density - ρ -(slugs/ft^{3}) | Specific Weight - γ - | |

(lb/ft^{3}) | (lb/US gallon) | ||

32 | 1.940 | 62.42 | 8.3436 |

40 | 1.940 | 62.43 | 8.3451 |

50 | 1.940 | 62.41 | 8.3430 |

60 | 1.938 | 62.37 | 8.3378 |

70 | 1.936 | 62.30 | 8.3290 |

80 | 1.934 | 62.22 | 8.3176 |

90 | 1.931 | 62.11 | 8.3077 |

100 | 1.927 | 62 | 8.2877 |

120 | 1.918 | 61.71 | 8.2498 |

140 | 1.908 | 61.38 | 8.2048 |

160 | 1.896 | 61 | 8.1537 |

180 | 1.883 | 60.58 | 8.0969 |

200 | 1.869 | 60.12 | 8.0351 |

212 | 1.860 | 59.83 | 7.9957 |

- mass and weight - the difference

Weight per US gallon is based on* 7.48 gallons per cubic foot*.

*1 Gallon (U.S.) = 3.785x10*^{-3}m^{3}= 3.785 dm^{3}(liter) = 0.13368 ft^{3}= 4.951x10^{-3}yd^{3}= 0.8327 Imp. gal (UK)

### Density and Specific Weight of Water - SI Units

Note! - change in density is not linear with temperature - the volumetric expansion coefficient for water is not constant over the temperature range.

Temperature - t -(^{o}C) | Density - ρ - (kg/m^{3}) | Specific Weight - γ -(kN/m^{3}) |

0 | 999.8 | 9.806 |

4 | 1000 | 9.807 |

10 | 999.7 | 9.804 |

20 | 998.2 | 9.789 |

30 | 995.7 | 9.765 |

40 | 992.2 | 9.731 |

50 | 988.1 | 9.690 |

60 | 983.2 | 9.642 |

70 | 977.8 | 9.589 |

80 | 971.8 | 9.530 |

90 | 965.3 | 9.467 |

100 | 958.4 | 9.399 |

- mass and weight - the difference

### Water - Temperature and Specific Volume

Note! - change in specific volume is not linear with temperature - the volumetric expansion coefficient for water is not constant over the temperature range.

### Example - Mass of Hot Water

A tank with *10 m*^{3} contains hot water with temperature *90 ^{o}C*. From the table above the density of water at

*90*is

^{o}C*965.3 kg/m*. The total mass of the water in the tank can then be calculated as

^{3}*(10 m ^{3}) (965.3 kg/m^{3}) = 9653 kg *

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