The root-mean-square speed (thermal speed) for a certain gas at 100 degree C is 0.500 km/s. If the temperature of the gas is now increased to 200 degree C, the root-mean-square(thermal) speed will be closest to a.563 m/s. b.1000 m/s c.634m/s d.707 m/s e.804 m/s.

Step-by-step explanation:

Root mean square speed (V) is directly proportional to √{T} where T is the temperature in KELVIN. The root mean square of a gas is given as Vrms = √(3RT/M) where T is the temperature in Kelvin.

So, we can write (V1/V2) = √{T1/T2}

the temperature is being changed from 100 degree celsius or 373.15 kelvin to 200 degree celsius or 473.15 kelvin.

V1=.500Km/s=500m/s, T1=273+100=373K

T2=273+200=473K

From V2 = V1√{T2/T1}

Plugging the values

V2=500sqrt{473/373} = 563m/s.

Hence, the root-mean-square(thermal) speed will be closest to 563 m/s

8+10

step-by-step explanation:

you multiply 4 by 2 and 5 by 2

here is me explaining it:

the pizza would be delivered around 5, give or take 15 minutes. this means it could be delivered anywhere from 4: 45 to 5: 15

let's say 5: 00 is equivalent to 0 on a number line and x represents time. 4: 45 would be equal to -15x because we are 15 minutes behind our starting point, 5: 00. 5: 15 would be equal to 15x because we are 15 minutes ahead of your starting point (which means you're late on the pizza delivery! )

absolute value is very confusing. the basic definition is how far you are from your starting point. if we deliver the pizza at 4: 45 (15 minutes before the starting point) we would be -15. this means we are 15 away from our starting point, 5: 00. that's the absolute value. |-15| (absolute value of negative fifteen) is equal to 15. if you did not understand this i suggest rereading this paragraph.

the normal way you would write this scenario would be 4.75 (4 and 3 quarters, or 4: 45. you can also write as a fraction.) is less than x and x is less than 5.25 (5 and 1 quarter or 5: 15). 4.75< x< 5.25 the reason why i am using numbers is because you cannot represent typical time as values on a graph, number line, or in an equation.

another way to write this scenario is with absolute value. we can write this as |x| being less than or equal to .25 (remember, this just means 15 minutes).           |x| ≤ .25.

sorry if the end was confusing. because we are talking about time this whole question is 10x harder. like i said earlier, you cannot represent time as, well, time, in a graph, equation, or number line. i set the values as follows: 1/4 or .25 for 15 minutes, and 1 for 1 hour. this is just a common way to set up graphs involving time.

|x| ≤ .25

i hope this ! : )

tell me if you need more assistance