45. The pressure P of a sample of gas is directly proportional to the temperature T and inversely proportional to the volume V. Find the constant of proportionality if 110 L of gas exerts a pressure of 30.1 kPa at a temperature of 200 K (absolute temperature measured on the Kelvin scale). Round to three decimal places. k = __________ If the temperature is increased to 800 K and the volume is decreased to 70 L, what is the pressure of the gas? Round to three decimal places. kPa = __________
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Sample gas is directly proportional to the temperature T and inversely proportional to the volume V. The pressure can be expressed by the equation P = k(T/V), where k is the constant of proportionality. Find the constant of proportionality when the gas exerts a pressure of 33.6 kPa at a temperature of 100 K (absolute temperature measured on the Kelvin scale). If the temperature is decreased to 60 K, what is the pressure of the gas? If the temperature is increased to 400 K and the volume is decreased (round your answer to one decimal place), what is the pressure in kPa?
Chapman H.
The pressure $P$ (measured in kilopascals, kPa) for a particular sample of gas is directly proportional to the temperature $T$ (measured in kelvin, $\mathrm{K}$ ) and inversely proportional to the volume $V$ (measured in litres, $\ell$ ). With k representing the constant of proportionality, this relationship can be written in the form of the equation $P=k \frac{T}{V}$ a) Find the constant of proportionality, $k$, if $150 \ell$ of gas exerts a pressure of $23.5 \mathrm{kPa}$ at a temperature of $375 \mathrm{K}$ b) Using the value of $k$ from part a) and assuming that the temperature is held constant at $375 \mathrm{K}$, write the volume $V$ as a function of pressure $P$ for this sample of gas.
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The pressure $P$ of a sample of gas is directly proportional to the temperature $T$ and inversely proportional to the volume $V$. (a) Write an equation that expresses this variation. (b) Find the constant of proportionality if $100 \mathrm{L}$ of gas exerts a pressure of $33.2 \mathrm{kPa}$ at a temperature of $400 \mathrm{K}$ (absolute temperature measured on the Kelvin scale). (c) If the temperature is increased to $500 \mathrm{K}$ and the volume is decreased to $80 \mathrm{L}$, what is the pressure of the gas?
Shareef J.
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