Dimensions and Units in Thermodynamics
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The SI unit of density is:
Explanation: Density is mass per unit volume, so its unit is kilograms per cubic meter (kg/m³) in SI.
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What is the dimension of pressure?
Explanation: Pressure (force/area) has dimensions of [M L T⁻²] ÷ [L²] = [M L⁻¹ T⁻²], as in Pascal.
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The unit of work in thermodynamics is:
Explanation: Work, like energy, is measured in Joules (J), equivalent to Newton-meter (N·m) in SI units.
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What is the dimension of volume?
Explanation: Volume is length cubed, so its dimension is [L³], measured in cubic meters (m³) in SI
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The SI unit of thermodynamic entropy is:
Explanation: Entropy measures energy per temperature, so its unit is Joules per Kelvin (J/K) in SI.
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What is the dimension of power in thermodynamics?
Explanation: Power (energy/time) has dimensions of [M L² T⁻²] ÷ [T] = [M L² T⁻³], as in Watts (J/s).
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The unit of specific heat capacity is:
Explanation: Specific heat capacity is energy per unit mass per unit temperature, so its unit is Joules per kilogram per Kelvin.
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What is the dimension of temperature?
Explanation: Temperature is a fundamental dimension [θ], measured in Kelvin (K) in SI units, not derived from mass, length, or time.
9 / 10
The SI unit of pressure is:
Explanation: Pressure is force per unit area, measured in Pascal (Pa), equivalent to N/m² in SI units
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What is the dimension of energy in thermodynamics?
Explanation: Energy (e.g., Joule) has dimensions of mass [M], length squared [L²], and time inverse squared [T⁻²], as in force × distance
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