Answer:
Step-by-step explanation:
Given
Required
Determine 
The question is illustrated with the attached image.
So:
This gives:
Answer:
1496.52 Pa, 14.76 atm
Step-by-step explanation:
This question can be solved using ideal gas law
according to which
pv = nrt
where p is the pressure of gas
v is volume of gas
n is amount gas in moles
R is ideal gas constant whose value is 8.314 J/mol
T is absolute temperature of gas on Kelvin scale
______________________________
given
v = 5 liter
n = 3
T = 300 kelvin
R = 8.314 J/mol
Let the pressure be p
Substituting the above value in ideal gas law equation we have
p*5 = 3*8.314*300
p = 7482.6/5 = 1496.52 Pa
This pressure is in pascal while option is in atm
we know 1 Pascal is equal to 0.0000098692 atm
we know that 1 Atm = 101325 Pa
thus, 1496.52 is equal to 0.0000098692*1496.52 atm
1496.52 is equal to 14.76 atm
To multiply a number by 10^-4, move the decimal place to the left four place values.
Final answer: 0.00068
Nathan has an infection and he needs to be treated with penicillin
But there’s a 75% probability of him being allergic to penicillin
And to test if the skin reacts to penicillin, the test is 98% accuracy
So even if he has the allergy the test is only 98% accurate of identifying the allergy
Therefore we are asked to find the probability of both these events happening
Event 1 and event 2 both should happen then. When the ‘and’ function is used in probabilities then the probabilities of both events happening should be multiplied
Therefore probability that Nathan has the allergy and test predicts it is
= 75% x 98% = 0.735
The answer is D. 0.735
