an isotope of cesium (cesium-137) has a half-life of 30 years if 1.0g of cesium-137 disintegrates over a period of 90 years how
1 answer:
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Refer to the diagram shown below.
The piston supports the same load W at both temperatures.
The ideal gas law is
where
p = pressure
V = volume
n = moles
T = temperature
R = gas constant
State 1:
T₁ = 20 C = 20+273 = 293 K
d₁ = 25 cm piston diameter
State 2:
T₂ = 150 C = 423 K
d₂ = piston diameter
Because V, n, and R remain the same between the two temperatures, therefore
If the supported load is W kg, then
Similarly,
Because p₁/p₂ = T₁/T₂, therefore
The minimum piston diameter at 150 C is 20.8 cm.
Answer: 20.8 cm diameter
The piston supports the same load W at both temperatures.
The ideal gas law is
where
p = pressure
V = volume
n = moles
T = temperature
R = gas constant
State 1:
T₁ = 20 C = 20+273 = 293 K
d₁ = 25 cm piston diameter
State 2:
T₂ = 150 C = 423 K
d₂ = piston diameter
Because V, n, and R remain the same between the two temperatures, therefore
If the supported load is W kg, then
Similarly,
Because p₁/p₂ = T₁/T₂, therefore
The minimum piston diameter at 150 C is 20.8 cm.
Answer: 20.8 cm diameter