Answer:
The pressure of the gas is 2.11 atm.
Explanation:
From the given,
Therefore, The pressure of the gas is 2.11 atm.
Boyle's law is used to find the new pressure after the gas is compressed from 1.00 L to 0.473 L. The original pressure is 1 atm at Standard Temperature and Pressure (STP). After the compression, the new pressure is approximately 2.12 atm.
The question relates to gas laws, specifically Boyle's law, which states that the pressure of a gas is inversely proportional to its volume when the temperature and amount of gas are held constant. At Standard Temperature and Pressure (STP; 273.15 K and 1 atm), one mole of an ideal gas occupancies a volume of about 22.4 L. In this case, the initial conditions are at STP, with a gas volume of 1.00 L, equating to a pressure of 1 atm. When this volume is compressed to 473 mL (or 0.473 L), the pressure can be determined using Boyle's law, i.e., P1V1 = P2V2. After substituting the values, we can solve for the new pressure (P2) which will be approximately 2.12 atm.
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To find the volume of a 240-piece of cork, we need to know the mass or total weight of the cork. The given information only states the density of the cork, which is 0.24, but it does not provide the mass directly.
Density (ρ) is defined as the mass (m) of an object divided by its volume (V):
Density (ρ) = Mass (m) / Volume (V)
Given: Density (ρ) = 0.24 g/cm³ (as 0.24 is equivalent to 0.24 g/cm³ for this case)
Mass (m) = 240 g
We need to rearrange the formula to solve for the volume (V):
Volume (V) = Mass (m) / Density (ρ)
Volume (V) = 240 g / 0.24 g/cm³
Volume (V) = 1000 cm³
So, the volume of the 240 grams of cork is 1000 cubic centimeters (cm³).
Learn more about the volume from the link given below.
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