Chemistry, asked by juta, 2 months ago

calculate the mass in grams of a sample of S containing 2.01×10^24 atoms​

Answers

Answered by HottyBaby
340

\red{\bigstar}\underline{\underline{\textsf{\textbf{ Given:- }}}}

  • A sample of sulphur has 2.01 × 10² atoms .

\red{\bigstar}\underline{\underline{\textsf{\textbf{ To Find :- }}}}

  • The mass in gram of sample .

\red{\bigstar}\underline{\underline{\textsf{\textbf{ Solution :- }}}}

Given that A sample of Sulphur has 2.01 × 10²⁴ atoms . And we need to find the mass of the sample . We know that the molecular mass of Sulphur is , 32 g . Therefore ,

\sf\longrightarrow Mass \ of \ Sulphur \ = \ 32 g

Now we know that , we can find the number of moles as ,

\sf\longrightarrow n = \dfrac{ Given \ wt.}{Molecular \ wt.}

Also ,

\sf\longrightarrow n = \dfrac{ Number \ of \ particles }{Avogrado's\ Number}

From above two ,

\sf\longrightarrow \red{ \dfrac{ Number \ of \ particles }{Avogrado's\ Number} = \dfrac{ Given \ wt.}{Molecular \ wt.}}

so that ,

\begin{gathered}\sf\longrightarrow \dfrac{ Weight}{ 32g}= \dfrac{ 2.01 * 10^{24}}{6.022 * 10^{23}} \\\\\\\sf\longrightarrow \dfrac{ Weight}{ 32g}= \dfrac{10}{3} \\\\\\\sf\longrightarrow Weight = \dfrac{10}{3}* 32g \\\\\\\sf\longrightarrow \boxed{\pink{\frak{ Weight_{(Sulphur)}= 106.66 \ grams }}}\end{gathered}

Hence the mass in grams of Sulphur is 106.66g .

Answered by studylover001
20

Answer:

Given :

A sample of sulphur has 2.01 × 10²⁴ atoms .

To Find :

The mass in gram of sample .

Solution :

⭐ Given that A sample of Sulphur has 2.01 × 10²⁴ atoms .

⭐ And we need to find the mass of the sample .

⭐ We know that the molecular mass of Sulphur is , 32 g .

Therefore ,

➡ Mass of Sulphur = 32g

We know that :-

  • n = Given weight / Molecular weight

Now we know that , we can find the number of moles as ,

  • n = number of particles / avogrado′s number

given weight / molecular weight = number of particles / avogrado's number

➡ Weight / 32g = 2.01 x 10^24 / 6.022 x 10^23

➡ Weight / 32g = 10/3

➡ Weight = 10/3 x 32g

➡ Weight (Sulphur) = 106.66 grams

Hence the mass in grams of Sulphur is

106.66g .

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