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  1. Early scientists explored the relationships among the pressure of a gas (P) and its temperature (T), volume (V), and amount (n) by holding two of the four variables constant (amount and temperature, for example), varying a third (such as pressure), and measuring the effect of the change on the fourth (in this case, volume).

  2. State the relation between temperature and ideal-gas average ki-netic energy expressed in terms of the RMS speed of the gas molecules. K4. Derive the ideal-gas equation of state, starting from microscopic definitions of temperature and pressure.

  3. temperature of a system by 1K (=1ºC). Its SI units are J/K. The heat capacity will depend on whether energy goes into work, instead of only increasing U. Therefore, we distinguish between: •Heat capacity at constant volume (C V), for which W = 0. •Heat capacity at constant pressure (C p), for which W > 0 (most systems expand when heated). Q

  4. The scale is calibrated to read the temperature as a function of the volume of the liquid. There are also thermometers which use the thermal expansion of a gas, which results in increasing the pressure of the gas if the volume of the gas is fixed. The pressure then tells you the temperature.

  5. Pressure is directly related to the temperature of a gas. As the temperature of a container increases the pressure increases, while the volume and moles of gas remain constant.

  6. The Ideal Gas Law relates the pressure, temperature, volume and moles of a gas through the gas constant “R.”. The ideal gas law reduces to the other gas laws when you start holding different variables constant. The Ideal Gas Law can also relate density and molar mass with the gas constant “R.”.

  7. Temperature is a measure of the kinetic energy a substance has. Absolute Zero (0 Kelvin) is a theoretical measurement where all movement stops. Converting units between Celsius and Kelvin. •. Example 1: Convert 25.0 ̊C into Kelvin. K = 25.0. + 273.15 = 298.15. K = C + 273.15.

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