Answer:
41 cm
Step-by-step explanation:
v= a/p
v= 9.84 when p= 50
9.84= a/50 a=492
v= 492/p
12= 492/p
p= 492/12
p= 41
When volume is increased by 12liters the value of pressure is equals to 41cm Hg.
"Inversely proportion is defined as two quantity is related in such a way when value of one quantity increases then value of other quantity decreases and vice -versa."
According to the question,
'V' represents the volume of the gas
'p' represent the pressure of the gas
As per the given condition ,
Volume is inversely proportional to the pressure
V ∝ ( 1 / p)
⇒ V = ( k / p)
where 'k' is the constant of proportionality.
V = 9.84 liters
p = 50cm Hg
Substitute the value in the formula we get,
9.84 = ( k / 50)
⇒ k = 9.84 × 50
= 492 liters cm Hg
When V = 12 liters
k = 492liters cm Hg
Substitute the values again in the formula we get,
12 = (492 / p)
⇒ p = (492 / 12)
= 41 cm Hg
Hence, when volume is increased by 12liters the value of pressure is equals to 41cm Hg.
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