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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Answer:
The kinetic energy at the 0.500 position is 1.96 J.
Explanation:
Mass of the vase = 0.800 kg
Height from where vase fallen = 0.750 m
Potential energy of vase at 0.750 m:
Kinetic energy of the vase at the point just before it was about to fell:
(absence of motion)
P.E + K.E = 5.88 J + 0 J = 5.88 Joules
Potential energy of vase at 0.500 m:P.E'
Kinetic energy of the vase at the point 0.500 m above the floor: K.E'
As we know, that sum of P.E and K.E remains constant.;
P.E' + K.E' = 3.92 J + K.E' = 5.88 J
K.E' = 5.88 J - 3.92 J = 1.96 J
The kinetic energy at the 0.500 position is 1.96 J.
Answer: The kinetic energy of vase at 0.500 m position is 1.96 J
Explanation:
Law of conservation of energy states that energy can neither be created nor be destroyed but it can only be transformed from one form to another form.
Here, the potential energy of the vase is getting converted into kinetic energy of the vase
So, calculating the potential energy of vase, we use the equation:
P = mgh
where,
m = mass of vase = 0.800 kg
g = acceleration due to gravity =
h = height of vase = (0.750 - 0.500) m = 0.250 m
Putting values in above equation, we get:
At 0.500 m, the potential energy gets converted to kinetic energy.
Kinetic energy of the vase = 1.96 J
Hence, the kinetic energy of vase at 0.500 m position is 1.96 J